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Finding the Third Proportional to 172.97 and 378.14

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Solution

The third proportional to 172.97 and 378.14 is: 826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.97 : 378.14 = 378.14 : x
  2. Step 2: Convert to fraction form
    172.97/378.14 = 378.14/x
  3. Step 3: Cross multiply
    172.97x = 378.14 × 378.14
  4. Step 4: Simplify right side
    172.97x = 142,990.33
  5. Step 5: Solve for x
    x = 142,990.33/172.97
  6. Step 6: Final answer
    x = 826.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.